4(3n-4)=(6n+8)+7

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Solution for 4(3n-4)=(6n+8)+7 equation:


Simplifying
4(3n + -4) = (6n + 8) + 7

Reorder the terms:
4(-4 + 3n) = (6n + 8) + 7
(-4 * 4 + 3n * 4) = (6n + 8) + 7
(-16 + 12n) = (6n + 8) + 7

Reorder the terms:
-16 + 12n = (8 + 6n) + 7

Remove parenthesis around (8 + 6n)
-16 + 12n = 8 + 6n + 7

Reorder the terms:
-16 + 12n = 8 + 7 + 6n

Combine like terms: 8 + 7 = 15
-16 + 12n = 15 + 6n

Solving
-16 + 12n = 15 + 6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6n' to each side of the equation.
-16 + 12n + -6n = 15 + 6n + -6n

Combine like terms: 12n + -6n = 6n
-16 + 6n = 15 + 6n + -6n

Combine like terms: 6n + -6n = 0
-16 + 6n = 15 + 0
-16 + 6n = 15

Add '16' to each side of the equation.
-16 + 16 + 6n = 15 + 16

Combine like terms: -16 + 16 = 0
0 + 6n = 15 + 16
6n = 15 + 16

Combine like terms: 15 + 16 = 31
6n = 31

Divide each side by '6'.
n = 5.166666667

Simplifying
n = 5.166666667

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